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Finding the Third Proportional to 38,993 and 58,229.25

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Solution

The third proportional to 38,993 and 58,229.25 is: 86,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,993 : 58,229.25 = 58,229.25 : x
  2. Step 2: Convert to fraction form
    38,993/58,229.25 = 58,229.25/x
  3. Step 3: Cross multiply
    38,993x = 58,229.25 × 58,229.25
  4. Step 4: Simplify right side
    38,993x = 3,390,645,555.56
  5. Step 5: Solve for x
    x = 3,390,645,555.56/38,993
  6. Step 6: Final answer
    x = 86,955.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.